Algebraic Representation

The total number of eggs, y, contained in x cartons can be represented by the equation y = 12x. Which of the following graphs best represents this situation?

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The table below shows the relationship between the

number of bridesmaid bouquets and the number of flowers.

Which equation best represents the relationship?

• b=15f

• f=15b

• f=b+15

• f=15-b

Marcy is taking part in a summer movie club. She will earn 3 points for each movie she attends throughout the summer. Which equation represents the relationship between y, the total points, and x the number of movies?

• y=3x

• y=3+x

• x=3y

• x=y+3

Two equations are shown below. Which of the statements best explains the relationship between the equations?

y=3x

y=x+3

• In y = x + 3, the value of y is 3 more than the value of y=3x.

• In y = 3x, the value of y is 3 times the value of y in the equation y=x+3

• In y=3x, the value of y is three times the value of x, and in y=x+3 the value of y is three less the value of x.

• In y=3x, the value of y is three times the value of x, and in y=x+3, the value of y is three more than the

  value of x.

Line A represents the equation y = 5x. Line B represents the equation y = x + 5. Which statement best describes the relationship between line A and line B?

• Line A will always be greater than line B.

• Line A and line B start at the same point.

• Line A increases more rapidly than line B.

• Line B increases more rapidly than line A.

The table shows the relationship between the distance away from the airport and the cost of a taxi ride to the airport. Which equation best represents the relationship in the table?

• c = 2.5d

• d = 2.5c

Barbara orders her groceries from a store that charges $15 plus the cost of her groceries to deliver the groceries to her home. Which equation represents this relationship?

• y = x + 15

• y = 15

• 15 = y + x

• y = 15x

Which equation best represents the relationship in this table?

• y = 9.6x

• y = 10.6x

• y = 9.6

• y = x + 9.6

Eduardo had eight dollars, then he started to save a dollar a week. Which equation can be used to find how much money Eduardo will have at the end of the month?

• y = 1 + 8

• y = 8x

• y = x + 8

• y = ⁸/_x

Ms. Pizzie has eight times the number of tacos that Ms. Cardona has. Which equation can be used to describe this relationship?

• y = 8x

• y = x + 8

• y = 8

• Ms. Cardona is going to fight Ms. Pizzie's for her tacos...